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1209_Physics ProblemsTechnical Physics

# 1209_Physics ProblemsTechnical Physics - 550 Molecules and...

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550 Molecules and Solids Section 43.2 Energy States and Spectra of Molecules P43.6 µ = + = + × = × m m m m 1 2 1 2 27 25 132 9 126 9 132 9 126 9 1 66 10 1 08 10 . . . . . . a f e j kg kg I r = = × × = × µ 2 25 9 2 45 1 08 10 0 127 10 1 74 10 . . . kg m kg m 2 e je j (a) E I I I J J I = = = + 1 2 2 1 2 2 2 2 ω ω a f a f = J = 0 gives E = 0 J = 1 gives E I = = × × = × = = 2 34 2 2 45 24 6 626 10 4 1 74 10 6 41 10 40 0 . . . . J s kg m J eV 2 e j e j π µ hf = × 6 41 10 0 24 . J to f = × 9 66 10 9 . Hz (b) f E h hI h r r = = = 1 2 2 2 2 4 = π µ If is 10% too small, is 20% too large. r f P43.7 For the HCl molecule in the J = 1 rotational energy level, we are given r 0 0 127 5 = . nm. E I J J rot = + = 2 2 1 a f Taking J = 1 , we have E I I rot = = = 2 2 1 2 ω or ω = = 2 2 2 2 = = I I . The moment of inertia of the molecule is given by Equation 43.3. I r m m m m r = = + F H G I K J µ 0 2 1 2 1 2 0 2 FIG. P43.7 I r = + L N M O Q P = × × = ×
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